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Finding the Third Proportional to 38,982 and 55,554

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Solution

The third proportional to 38,982 and 55,554 is: 79,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982 : 55,554 = 55,554 : x
  2. Step 2: Convert to fraction form
    38,982/55,554 = 55,554/x
  3. Step 3: Cross multiply
    38,982x = 55,554 × 55,554
  4. Step 4: Simplify right side
    38,982x = 3,086,246,916
  5. Step 5: Solve for x
    x = 3,086,246,916/38,982
  6. Step 6: Final answer
    x = 79,171.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.